Instructor: Mohammad Abbasi. Instructor Contact Information:

Transcription

1 MATH 0409: Foundations of Mathematics South West Campus CRN #77853/ Fall 15 Meeting Day M W 5:00 PM 7:00 PM Textbook: INTRODUCTORY AND INTERMEDIATE ALGEBRA. Houston Community College Developmental Math Courses 0409/0312 (Custom Edition). Pearson Learning Solutions: Boston, ISBN 10: and ISBN 13: Course ID: Instructor: Mohammad Abbasi Instructor Contact Information: mohammad.abbasi@hccs.edu Course Description Foundations of Mathematics: Topics include real numbers, basic geometry, polynomials, factoring, linear equations, linear inequalities, set operations, rational expressions, and an introduction to modeling which may include exponential, quadratic and linear models. A departmental final examination must be passed with a score of 60% or more in order to pas s the course. Prerequisite: MATH 0106 or equivalent test score. Prerequisites MATH 0106 with C or better or equivalent test score. Course Goal: This course is intended for students who have either never been exposed to algebra or who have been away from the subject for quite some time. Particularly, this course is intended to prepare students for the study of Math 0312 or for a non Algebra based College Level Math course, specifically Math Course Student Learning Outcomes (SLO): 1. Identify and apply properties of real numbers, and perform accurate arithmetic operations with numbers in various formats. 2. Demonstrate the ability to manipulate/simplify algebraic expressions, & classify/solve algebraic equations with appropriate techniques. 3. Demonstrate the use of elementary graphing techniques. 4. Apply basic geometric theorems and formulas to rectangles, squares, parallelograms, triangles, parallelograms, triangles and circles. 5. Apply Proportional Reasoning to solve related problems including ratios, rates, proportion, percent and conversions of units. 6. Recognize, examine, and interpret the linear, quadratic, exponential, and/or rational models of equations. Learning objectives Students will: 1. Add, subtract, multiply and divide real numbers and manipulate certain expressions. 2. Find the perimeter and area of rectangles, squares, parallelograms, triangles and circles. Page 1 of 12

2 3. Solve problems using scientific notation. 4. Simplify algebraic expressions. 5. Solve problems using equations and inequalities. 6. Factor polynomials using the techniques of the greatest common factor, grouping, difference of two squares and trinomials of the form x 2 + bx + c. 7. Multiply and divide, and simplify rational expressions 8. Plot ordered pairs and graph linear equations. 9. Graph linear inequalities. 10. Find the rate of change of a line & write its equation. 11. Model situations with linear, quadratic, or exponential functions GEOMETRY and SET OPERATIONS (Unit I) CALENDAR This unit presents the basic geometric figures, their relations, and basic set operations. The instructor should emphasize the perimeter and area of triangles, quadrilaterals, and circles and set operations including union and intersection, and complement. Listed below are the subtopics covered in this unit: Aug 24 Aug 26 Sec 8.2 Perimeter Sec 8.3 Area Sec 8.4 Circles INTRO. TO REAL NUMBERS & ALGEBRAIC EXPRESSIONS (Unit II) This unit presents an introduction to algebra and the real number system. The instructor should emphasize addition, subtraction, multiplication and division of real numbers and the properties of real numbers. This unit concludes with simplifying expressions and the order of operations. Listed below are the subtopics covered in this unit: Aug 31 Sec 1.1 Introduction to Algebra Sec 1.2 the Real Numbers Sep 2 Sec 1.3 Addition of Real Numbers Sec 1.4 Subtractions of Real Numbers Sep 7 Labor day Holiday Sep 9 Sep 14 Sec 1.5 Multiplication of Real Numbers Sec 1.6 Division of Real Numbers Page 2 of 12

3 Sec 16 Sep 21 Sec 1.7 Properties of Real Numbers Sec 1.8 Simplifying Expressions; Order of Operations Test # I SOLVING EQUATIONS AND INEQUALITIES (Unit III) The major emphasis of this chapter is to teach solving linear equations. A mastery of this chapter requires that the student have a thorough understanding of combining like terms and properties of equality. The skills necessary for solving equations is extended to and include working with the equality of two fractions and solving inequalities in a single variable. Listed below are the subtopics covered in this unit: Sep 23 Sec 2.1 Solving Equations: The Addition Principle Sec 2.2 Solving Equations: The Multiplication Principle Sep 28 Sec 2.3 Using the Principles Together Sec 2.4 Formulas Sep 30 Sec 2.5 Applications of Percent Sec 2.6 Applications and Problem Solving Oct 5 Sec 2.7 Solving Inequalities Sec 2.8 Applications and Problem Solving with Inequalities Oct 7 Test # 2 GRAPHS OF LINEAR EQUATIONS AND INEQUALITIES (Unit IV) This unit introduces plotting ordered pairs, rates of change (slopes), and sketching linear equations of the form y = mx + b and linear inequalities. Listed below are the subtopics covered in this unit: Oct 12 Sec 3.1 Graphs Linear Equations Sec 3.2 More with Graphing and Intercepts Oct 14 Oct 19 Sec 3.3 Slope and Applications Sec 3.5 Graphing Using the Slope and the y-intercept Sec 3.7 Graph Linear Inequalities in Two Variables Page 3 of 12

4 POLYNOMIALS: OPERATIONS (Unit V) This unit begins with integer exponents and scientific notation. The topics include the techniques to recognize a polynomial and find the degree of a polynomial; perform addition, subtraction, multiplication and division of polynomials. Listed below are the subtopics covered in this unit: Oct 19 Sec 4.1 Integers as Exponents Oct 21 Sec 4.2 Exponents and Scientific Notation Sec 4.3 Introduction to Polynomials Oct 26 Sec 4.4 Additions and Subtraction of Polynomials Sec 4.5 Multiplication of Polynomials Oct 28 Sec 4.6 Special Products Oct 30 Last Day for Student Withdrawn Nov 2 Sec 4.7 Operations with Polynomials in Several Variables Sec 4.8 Division of Polynomials (Monomials Divisors Only) Nov 4 Test # 3 POLYNOMIALS: FACTORING (Unit VI) This unit covers factorization of polynomials. Factoring trinomials is limited to trinomials of the form x 2 + bx + c or trinomial squares. Listed below are the subtopics covered in this unit: Nov 9 Sec 5.1 Introduction to Factoring (GCF and Grouping) Sec 5.2Factoring Trinomials (of the type x 2 + bx + c only) Sec 5.3 Factoring Trinomial Squares and Differences of Squares Nov 11 Sec 5.4 Factoring: A General Strategy (Omit ax 2 + bx + c, a 1; include trinomial squares with a 1) RATIONAL EXPRESSIONS AND EQUATIONS (Unit VII) This unit begins with multiplying and simplifying rational expressions. The topics include techniques to reduce or build up fractions, addition, subtraction, multiplication and division of fractions. Listed below are the subtopics covered in this unit: Page 4 of 12

5 Nov 11 Sec 6.1 Multiplication and Simplifying Rational Expressions (Omit ax 2 + bx + c, Sec 6.2 Division and Reciprocals (Omit ax 2 + bx + c, a 1) Nov 16 Sec 6.7 Rational Equations and applications (Proportions only) RADICAL EXPRESSIONS AND EQUATIONS (Unit VIII) This unit covers finding the principal square roots, identifying radicands of radical expressions, identifying whether a radical expression represents a real number and simplifying radical expressions with a perfect-square radicand. Listed below is the subtopic covered in this unit: From the Intermediate Algebra portion of the book: Nov 16 Sec 7.1 Introduction to Radical Expressions (Include Perfect Square Radicands Only) LINEAR, QUADRATIC, AND EXPONENTIAL MODELING (Unit IX) knowing that a linear equation has a straight line, quadratic is U-shaped, and exponential either increases or decreases without bound in one direction and levels out in the other direction (without mentioning the term "asymptote.") Listed below are the subtopics covered in this unit: The material for Unit IX can be found in the Eagle Online Model Course and in the MyMathLab Model Course. Nov 16 Linear modeling Quadratic modeling Exponential modeling Nov 18 Test # 4 Nov Thanks Giving Holiday Nov 30 and Dec 2 Final Exam Review Nov 7 5:30PM 7:30PM Comprehensive Final Exam Page 5 of 12

6 Assessment/Make-up and Grading There are assigned homework problems after every section. It is crucial for you to succeed in this class that you do faithfully your homework every week on MyMathLab. There will be 4 major Test, Homework, Quizzes and comprehensive departmental final exam. One of the lowest grades in your major test will be drop. There will be no makeup, since the lowest test grade will be drop. Final Exam Policy in Developmental Mathematics The final letter grade will be determined accordingly: a. Students who score less than 60% on the Final Examination will be awarded a course grade of F. b. A student whose score is greater than or equal to 60% on the Final Examination will have their grades averaged and awarded a grade based upon the standard 10 point scale. AVERAGE GRADE 90% Final Average 100% A 80% Final Average < 90% B 70% Final Average < 80% C Final Average < 70% F Note: The instructor cannot assign a grade of IP or W. The grade of FX is given when a student fails due to lack of attendance. Assessments (Break down of grade calculation by points or percentage see sample below) The assessments weights are as follows: Homework=15%, Quizzes=15%, Exams=50 %, Final exam=20%. Pearson's MyLab & Mastering Student Registration Instructions To register for Math 0409 Fall 15: 1. Go to 2. Under Register, select Student. Page 6 of 12

7 3. Confirm you have the information needed, then select OK! Register now. 4. Enter your instructor s course ID: abbasi90994, and Continue. 5. Enter your existing Pearson account username and password to Sign In. You have an account if you have used a Pearson product, for example: MyMathLab, MyITLab, MyPsychLab, MySpanishLab or Mastering, such as MasteringBiology. If you don t have an account, select Create and complete the required fields. 6. Select an access option. Use the access code that came with your textbook or that you purchased separately from the bookstore. Buy access using a credit card or PayPal account. If available, get 14 days temporary access. (The link is near the bottom of the screen.) 7. From the confirmation page, select Go To My Courses. 8. On the My Courses page, select the course tile Math 0409 Fall 15 to start your work. To sign in later: 1. Go to 2. Select Sign In. 3. Enter your Pearson account username and password, and Sign In. 4. Select the course tile Math 0409 Fall 15 to start your work. To upgrade temporary access to full access: 1. Go to 2. Select Sign In. 3. Enter your Pearson account username and password, and Sign In. 4. Select Upgrade access from the course tile Math 0409 Fall Enter an access code or purchase access with a credit card or PayPal account. For a registration overview, go to Scroll down to Need a little help? and select a video. Page 7 of 12

8 Technical Support If you should experience technical difficulties during the semester, these problems are not under the control of the instructor. Such technical problems should be directed to technical support. For Eagle Online tech support, go to the HCC Eagle Online support website call , options 4, 2, 3 (available 24 x 7). For MyMathLab tech support call or HCC Policy Statement ADA Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at his or her respective college at the beginning of each semester. Students who require reasonable accommodations for disabilities are encouraged to report to Dr. Becky Hauri at to make necessary arrangements Faculty members are authorized to provide only the accommodations requested by the Disability Support Services Office. Persons needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible. For questions, please contact. To visit the ADA Web site, please visit then click Future students, scroll down the page and click on the words Disability Information. HCC Policy Statement: Academic Honesty Note: As with all developmental mathematics courses at HCC, the use of a calculator during an exam is prohibited and will be considered cheating. A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. The instructor is responsible for measuring each student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the University's Policy on Academic Honesty, found in the catalog. What that means is: If you are charged with an offense, pleading ignorance of the rules will not help you. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System officials against a student accused of scholastic dishonesty. Scholastic dishonesty : includes, but is not limited to, cheating on a test, plagiarism, and collusion. Cheating on a test includes: Copying from another students test paper; Using materials not authorized by the person giving the test; Collaborating with another student during a test without authorization; Knowingly using, buying, selling, stealing, transporting, or soliciting in whole or part the contents of a test not yet administered; Page 8 of 12

9 Bribing another person to obtain a test that is to be administered. Plagiarism means the appropriation of another s work and the unacknowledged incorporation of that work in one s own written work offered for credit. Collusion mean the unauthorized collaboration with another person in preparing written work offered for credit. Possible punishments for academic dishonesty may include a grade of 0 or F in the particular assignment, failure in the course, and/or recommendation for probation or dismissal from the College System. (See the Student Handbook) HCC Policy Statements Class Attendance - It is important that you come to class! Attending class regularly is the best way to succeed in this class. Research has shown that the single most important factor in student success is attendance. Simply put, going to class greatly increases your ability to succeed. You are expected to be on time at the beginning of each class period. For complete information regarding Houston Community College s policies on attendance, please refer to the Student Handbook. You are responsible for materials covered during your absences. Class attendance is checked daily. Although it is your responsibility to drop a course for nonattendance, the instructor has the authority to drop you for excessive absences. If you are not attending class, you are not learning the information. As the information that is discussed in class is important for your career, students may be dropped from a course after accumulating absences in excess of six (6) hours of instruction. The six hours of class time would include any total classes missed or for excessive tardiness or leaving class early. You may decide NOT to come to class for whatever reason. As an adult making the decision not to attend, you do not have to notify the instructor prior to missing a class. However, if this happens too many times, you may suddenly find that you have lost the class. Poor attendance records tend to correlate with poor grades. If you miss any class, including the first week, you are responsible for all material missed. It is a good idea to find a friend or a buddy in class who would be willing to share class notes or discussion or be able to hand in your work if you unavoidably miss a class You benefit for attending class regularly. You earn rewards as follows: Perfect attendance (0 absent and 0 tardy) = 5. The point will add to the final exam grade. The students receive 10 points as extra credit assign to each test with perfect attendance between two tests and doing test review. Any student who arrives 15 minutes after the class has begun or leaves before the class is dismissed without any prior approval of the instructor is considered absent. HCC Course Withdrawal Policy If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final Page 9 of 12

10 date of withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational career in obtaining a certificate and/or degree. To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which your professor may alert you and HCC counselors that you might fail a class because of excessive absences and/or poor academic performance. It is your responsibility to visit with your professor or a counselor to learn about what, if any, HCC interventions might be available to assist you online tutoring, child care, financial aid, job placement, etc. to stay in class and improve your academic performance. If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a W on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class length, please visit the online registration calendars, HCC schedule of classes and catalog, any HCC Registration Office, or any HCC counselor to determine class withdrawal deadlines. Remember to allow a 24-hour response time when communicating via and/or telephone with a professor and/or counselor. Do not submit a request to discuss withdrawal options less than a day before the deadline. If you do not withdraw before the deadline, you will receive the grade that you are making in the class as your final grade. Repeat Course Fee The State of Texas encourages students to complete college without having to repeat failed classes. To increase student success, students who repeat the same course more than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to encourage students to pass their courses and to graduate. Effective fall 2006, HCC will charge a higher tuition rate to students registering the third or subsequent time for a course. If you are considering course withdrawal because you are not earning passing grades, confer with your instructor/counselor as early as possible about your study habits, reading and writing homework, test taking skills, attendance, course participation, and opportunities for tutoring or other assistance that might be available. Classroom Behavior Everyone will be expected to conduct themselves with courtesy and respect in this classroom. Use of Camera and/or Recording Devices As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor. Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations Instructor Requirements Page 10 of 12

11 Students are expected to submit homework online thru MyMathLab by the designated due dates and take all exams during the scheduled testing dates. At least 30% of the grade must be from in-person, proctored exams. Personal Communication Device Policy: All personal communication devices (any device with communication capabilities including but not limited to cell phones, blackberries, pagers, cameras, palmtop computers, lap tops, PDA's, radios, headsets, portable fax machines, recorders, organizers, databanks, and electronic dictionaries or translators) must be muted or turned off during class. Such activity during class time is deemed to be disruptive to the academic process. Personal communication devices are to not be on the student desk during examinations. Usage of such devices during exams is expressly prohibited during examinations and will be considered cheating (see academic honesty section above). Student Course Reinstatement Policy: Students have a responsibility to arrange payment for their classes when they register, either through cash, credit card, financial aid, or the installment plan. Faculty members have a responsibility to check their class rolls regularly, especially during the early weeks of a term, and reconcile the official class roll to ensure that no one is attending class whose name does not appear on it. Students who are dropped from their courses for nonpayment of tuition and fees who request reinstatement after the official date of record (OE Date) can be reinstated by making payment in full and paying an additional \$75 per course reinstatement fee. A student requesting reinstatement should present the registrar with a completed Enrollment Authorization Form with the signature of the instructor, department chair, or dean who should verify that the student has been attending class regularly. Students who are reinstated are responsible for all course policies and procedures, including attendance requirements. Resources: Tutoring: Free tutoring is available at the South west campuses Additional help is also available through and through Student Support Services. Students can get free assistance, 24 hours a day, 7 days a week, in Math, English and other subjects, at Typically, posted questions are answered by an HCC tutor or faculty within 24 hours (usually under 6 hours). By purchasing a MyMathLab access code, students can also receive free tutoring from the Pearson Tutor Center at Students can get tutoring either over the phone, fax, , or interactive web. You may also find free tutoring at various HCCS campuses by going to Find-A-Tutor at There are also several online math resources that you can find with an internet search. Some sample websites include: Page 11 of 12

12 Social Networking: DE students are encouraged to become a fan of DE on Facebook and follow DE on Twitter. These social networking sites can provide a sense of community for the online learner, as well as up-to-date information and announcements related to HCC and DE. Administration contact information College - Level Math Courses Chair of Math Jaime Hernandez SW Campus Stafford, Scarcella, N108 - Secretary SW Campus Stafford, Scarcella, N108 Math Assoc. Chair Roderick McBane CE Campus San Jacinto Building, Rm 369 Math Assoc. Chair Ernest Lowery NW Campus Katy Campus Building, Rm 112 Math Assoc. Chair Mahmoud Basharat NE Campus Codwell Hall Rm 105 Developmental Math Courses Chair of Dev. Math Susan Fife SE Campus Felix Morales Building, Rm Secretary Carmen Vasquez SE Campus Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Marisol Montemayor SE Campus Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Jack Hatton NE Campus Northline Building, Room 321 For issues related to your class, please first contact your instructor. If you need to contact departmental administration, then contact the appropriate Associate Chair. If further administrative contact is necessary, then contact the appropriate Department Chair. Page 12 of 12